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Finding the Fourth Proportional to 192.69, 265.94 and 109.85

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Solution

The fourth proportional to 192.69, 265.94 and 109.85 is: 151.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.69 : 265.94 = 109.85 : x
  2. Step 2: Convert to fraction form
    192.69/265.94 = 109.85/x
  3. Step 3: Cross multiply
    192.69x = 265.94 × 109.85
  4. Step 4: Simplify right side
    192.69x = 29,211.63
  5. Step 5: Solve for x
    x = 29,211.63/192.69
  6. Step 6: Final answer
    x = 151.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.